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3 years ago

Awnser in 20seconds or less

Mathematics

1 answer:

jekas [21]3 years ago

6 0

Answer:

16 times

Step-by-step explanation:

See the graph of the number line attached.

Here, the average monthly rainfall in inches is represented and the greatest amount of rainfall is 2 inches and the least amount of rainfall is $\frac{1}{8}$ inches.

Therefore, the greatest amount of rainfall is $\frac{2}{\frac{1}{8}} = 2 \times 8 = 16$ times as great as the least amount of rainfall. (Answer)

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Is this a right triangle??? Show work

podryga [215]

Answer:

This is a right angle.

Step-by-step explanation:

As you can see below, the angle specified is 90 degrees. That is a right angle.

6 0

3 years ago

Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1

Lera25 [3.4K]

Assuming the function is

$f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}$

For $f(x)$ to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)$
$\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)$
$\iff2=b+c$

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

$f'(x)=\begin{cases}2&\text{for }x1\end{cases}$

$\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)$
$\iff2=2b+c$

Now we solve for $b$ and $c$ :

$\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2$

5 0

4 years ago

Mickey and Donald earn $53 weekend after taxes Mickeys share is seven dollars greater than Donald's how much does Donald earn ea

igor_vitrenko [27]

Donald earns $23 each weekend and Mickey earns $30.

Step-by-step explanation:

Given,

Money earned by Mickey and Donald = $53

Let,

Share of Mickey = x

Share of Donald = y

According to given statement;

x+y=53 Eqn 1

x = y+7 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y+7)+y=53\\y+7+y=53\\2y=53-7\\2y=46$

Dividing both sides by 2

$\frac{2y}{2}=\frac{46}{2}\\y=23$

Putting y=23 in Eqn 2

$x=23+7\\x=30$

Donald earns $23 each weekend and Mickey earns $30.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.

12345 [234]

Answer:

1) $G(t) = 75 + \frac{23}{4}t\\$

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

$\frac{150}{2} = 75 gallons$

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

$5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}$

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

$G(t) = 75 + \frac{23}{4}t\\$

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

$G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons$

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

8 0

3 years ago

Muna claims that the expression (8)(16) + (8)(12) + (16)(12) represents the

aivan3 [116]

The surface area of a right rectangular prism is the amount of space on it.

Muna's claim is incorrect

<h3>How to determine the surface area?</h3>

The surface area of a right rectangular prism is calculated as:

A = 2 * (lw + lh + wh)

So, we have:

A = 2 * (8 * 16 + 8 * 12 + 16 * 12)

The above expression implies that Muna's claim is incorrect